{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3ff8e60c-b621-4ddb-930c-7f6fe7165320",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import os\n",
    "import matplotlib as mpl\n",
    "from scipy.stats import lognorm\n",
    "from scipy.stats import beta \n",
    "import scipy as scp\n",
    "import matplotlib as mpl\n",
    "\n",
    "mpl.rc('font',family = 'Times New Roman')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5b76bef6-30a1-4162-829a-e3abd0cf6ee2",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "tA1 = np.loadtxt('DampingA1.txt')\n",
    "tA2 = np.loadtxt('DampingA2.txt')\n",
    "tA3 = np.loadtxt('DampingA3.txt')\n",
    "tA4 = np.loadtxt('DampingA4.txt')\n",
    "tA5 = np.loadtxt('DampingA5.txt')\n",
    "tA6 = np.loadtxt('DampingA6.txt')\n",
    "\n",
    "tB1 = np.loadtxt('DampingB1.txt')\n",
    "tB2 = np.loadtxt('DampingB2.txt')\n",
    "tB3 = np.loadtxt('DampingB3.txt')\n",
    "tB4 = np.loadtxt('DampingB4.txt')\n",
    "tB5 = np.loadtxt('DampingB5.txt')\n",
    "tB6 = np.loadtxt('DampingB6.txt')\n",
    "\n",
    "tC1 = np.loadtxt('DampingC1.txt')\n",
    "tC2 = np.loadtxt('DampingC2.txt')\n",
    "tC3 = np.loadtxt('DampingC3.txt')\n",
    "tC4 = np.loadtxt('DampingC4.txt')\n",
    "tC5 = np.loadtxt('DampingC5.txt')\n",
    "tC6 = np.loadtxt('DampingC6.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "09a521a8-13e3-4c83-9f3c-4e4762edc21b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Hysteretic Damping Ratio, $\\\\xi_{hyst}$')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.plot(tA1[2:,0],tA1[2:,1],'o')\n",
    "#plt.plot(tA2[1:,0],tA2[1:,1],'o')\n",
    "plt.plot(tA3[:,0],tA3[:,1],'o')\n",
    "#plt.plot(tA4[:,0],tA4[:,1],'o')\n",
    "plt.plot(tA5[:,0],tA5[:,1],'o')\n",
    "plt.plot(tA6[:,0],tA6[:,1],'o')\n",
    "\n",
    "\n",
    "plt.xlim(0,20)\n",
    "plt.ylim(0,0.2)\n",
    "plt.xlabel(r'Ductility, $\\mu$',fontsize=12)\n",
    "plt.ylabel(r'Hysteretic Damping Ratio, $\\xi_{hyst}$',fontsize=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d264d7ad-d28b-4d24-9af3-6c0852e01231",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Hysteretic Damping Ratio, $\\\\xi_{hyst}$')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.plot(tB1[1:,0],tB1[1:,1],'o')\n",
    "#plt.plot(tB2[2:,0],tB2[2:,1],'o')\n",
    "plt.plot(tB3[:,0],tB3[:,1],'o')\n",
    "#plt.plot(tB4[1:,0],tB4[1:,1],'o')\n",
    "plt.plot(tB5[2:,0],tB5[2:,1],'o')\n",
    "plt.plot(tB6[:,0],tB6[:,1],'o')\n",
    "\n",
    "plt.xlim(0,20)\n",
    "plt.ylim(0,0.1)\n",
    "plt.xlabel(r'Ductility, $\\mu$',fontsize=12)\n",
    "plt.ylabel(r'Hysteretic Damping Ratio, $\\xi_{hyst}$',fontsize=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "59993572-291b-4de6-8896-13a3e5f8ea22",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d97b92cb-4adf-4ad5-a092-19ea89e6876c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Hysteretic Damping Ratio, $\\\\xi_{hyst}$')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(tC1[2:,0],tC1[2:,1],'o')\n",
    "plt.plot(tC2[:,0],tC2[:,1],'o')\n",
    "plt.plot(tC3[:,0],tC3[:,1],'o')\n",
    "plt.plot(tC4[:,0],tC4[:,1],'o')\n",
    "plt.plot(tC5[:,0],tC5[:,1],'o')\n",
    "plt.plot(tC6[:,0],tC6[:,1],'o')\n",
    "\n",
    "plt.xlim(0,20)\n",
    "plt.ylim(0,0.1)\n",
    "plt.xlabel(r'Ductility, $\\mu$',fontsize=12)\n",
    "plt.ylabel(r'Hysteretic Damping Ratio, $\\xi_{hyst}$',fontsize=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b9beb0a7-3280-4364-bdff-3a7cd7b51b45",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "mu1 = np.concatenate((tA1[2:,0],tA2[1:,0],tA3[:,0],tA4[2:,0],tA5[1:,0],tA6[:,0]))\n",
    "ksi1 = np.concatenate((tA1[2:,1],tA2[1:,1],tA3[:,1],tA4[2:,1],tA5[1:,1],tA6[:,1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "69eba14c-5314-4bfa-a2db-64b69c87d86f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def func(x,a,b,c):\n",
    "    return a*np.exp(b*(x-c))/(1+np.exp(b*(x-c)))**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "cdd9a697-fc95-4a42-b10e-b57c315db63c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.27630154, -0.23476675,  6.06005792])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popt,pcov = scp.optimize.curve_fit(func,mu1,ksi1)\n",
    "popt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "a5ef09dd-d411-4b1b-bfa0-c1aa9765bd79",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "muc = np.linspace(1,50,5000)\n",
    "plt.plot(mu1,ksi1,'o',label='Data from reversed cyclic analyses')\n",
    "plt.plot(muc,func(muc,0.28,0.24,6),label=r'Proposed Model, $R^2=0.57$')\n",
    "plt.xlim(1,20)\n",
    "plt.ylim(0,0.2)\n",
    "plt.xlabel(r'Ductility, $\\mu$',fontsize=12)\n",
    "plt.ylabel(r'Hysteretic Damping Ratio, $\\xi_{hyst}$',fontsize=12)\n",
    "plt.legend()\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure7_P4.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "13af6e58-799b-444f-80a2-1bfce5bd5f7a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5713809533694985"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "SStot = 0\n",
    "for i in range(len(ksi1)):\n",
    "    SStot = SStot + (ksi1[i] - np.mean(ksi1))**2\n",
    "SSerr1 = 0\n",
    "for i in range(len(ksi1)):\n",
    "    SSerr1 = SSerr1 + (ksi1[i] - func(mu1[i],0.28,0.24,6))**2\n",
    "1-(SSerr1/SStot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ae73a440-864b-4e17-ae73-0276afa74e9c",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "fd603bc4-3869-4ee5-aafa-bc5345f17d0d",
   "metadata": {},
   "outputs": [],
   "source": [
    "muSq = np.concatenate((tB1[1:,0],tB2[2:,0],tB3[:,0],tB4[2:,0],tB5[2:,0],tB6[1:,0]))\n",
    "ksiSq = np.concatenate((tB1[1:,1],tB2[2:,1],tB3[:,1],tB4[2:,1],tB5[2:,1],tB6[1:,1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "7e5698b1-da34-4391-bff4-86f4d674e60d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.13414878, 0.34006272, 4.28294224])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popt,pcov = scp.optimize.curve_fit(func,muSq,ksiSq)\n",
    "popt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "8058aefe-5094-4c82-8712-15b024572fad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "muc = np.linspace(1,50,5000)\n",
    "plt.plot(muSq,ksiSq,'o',label='Data from reversed cyclic analyses')\n",
    "plt.plot(muc,func(muc,0.13,0.34,4.3),label=r'Proposed Model, $R^2=0.80$')\n",
    "plt.xlim(1,20)\n",
    "plt.ylim(0,0.2)\n",
    "plt.xlabel(r'Ductility, $\\mu$',fontsize=12)\n",
    "plt.ylabel(r'Hysteretic Damping Ratio, $\\xi_{hyst}$',fontsize=12)\n",
    "plt.legend()\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure8_P4.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "a08e2d12-2bf0-42f1-b68e-40dfc0a7ba3a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7966815305171593"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "SStot = 0\n",
    "for i in range(len(ksiSq)):\n",
    "    SStot = SStot + (ksiSq[i] - np.mean(ksiSq))**2\n",
    "SSerr1 = 0\n",
    "for i in range(len(ksiSq)):\n",
    "    SSerr1 = SSerr1 + (ksiSq[i] - func(muSq[i],0.13,0.34,4.3))**2\n",
    "1-(SSerr1/SStot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b4c3b606-0eb9-4773-998c-f74d42a8b59b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "d9aac577-3f5e-4e45-80d7-f9515156a4a1",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "muSl = np.concatenate((tC1[2:,0],tC2[:,0],tC3[:,0],tC4[1:,0],tC5[1:,0],tC6[1:,0]))\n",
    "ksiSl = np.concatenate((tC1[2:,1],tC2[:,1],tC3[:,1],tC4[1:,1],tC5[1:,1],tC6[1:,1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "5add63af-f815-4990-b83e-981b1c940f76",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.30183525, -0.18092245,  6.91847195])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popt,pcov = scp.optimize.curve_fit(func,muSl,ksiSl)\n",
    "popt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "e6fe52ce-0261-42cb-9503-e3a913ff6eb8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "muc = np.linspace(1,50,5000)\n",
    "plt.plot(muSl,ksiSl,'o',label='Data from reversed cyclic analyses')\n",
    "plt.plot(muc,func(muc,0.30,0.18,6.9),label=r'Proposed Model, $R^2=0.53$')\n",
    "plt.xlim(1,20)\n",
    "plt.ylim(0,0.2)\n",
    "plt.xlabel(r'Ductility, $\\mu$',fontsize=12)\n",
    "plt.ylabel(r'Hysteretic Damping Ratio, $\\xi_{hyst}$',fontsize=12)\n",
    "plt.legend()\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure9_P4.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "3ab6af11-2e07-473d-9ed2-a9e8264d4b75",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5317604896586576"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "SStot = 0\n",
    "for i in range(len(ksiSl)):\n",
    "    SStot = SStot + (ksiSl[i] - np.mean(ksiSl))**2\n",
    "SSerr1 = 0\n",
    "for i in range(len(ksiSl)):\n",
    "    SSerr1 = SSerr1 + (ksiSl[i] - func(muSl[i],0.30,0.18,6.9))**2\n",
    "1-(SSerr1/SStot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "a184d41d-1e52-4788-9452-f2f3880b1c48",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OnSRJUVFRDrcbyovExET7/wcHB1tZGgAAADxM+vOhatSokeXy9GxJrgQAACiZypUrp/Pnz2vbtm0aMGBAtv2io6NVsWLFTO0cqwQAAIWFK8Y9wPDhw/Xbb79pwoQJTk+KS1J8fLz9/6tWrWplaQAAAPAwJ06ckCR16dIly+Xp2ZJcCQAAUDKFhYVJkj755BNdunQpyz6ff/65Nm/enOUyjlUCAIDCwsS4B9iwYYOk/z3MPis5PeA+422NmjVrZlldAAru0KFDGj58uDp16qTy5cvrrrvu0qFDh4q6LOTDpUuX9M477yg8PFxTpkwp6nKydfHiRS1cuDDLOn/77TdVqlRJw4cPL6LqrJOWlqavvvpKffr0UdeuXYu6HMBtpKamavPmzSpXrpyGDBmSZZ/0bEmuBIoPMqXnIFMWL2RKIGu9e/eWJJ09e1Zjx47NtPyvv/7SpEmT1L179yzX51glUHyRKz0HubJ4IVe6DhPjHqB8+fKSpBkzZigmJkaStH37doeDladPn9b27dsVGRmZaf39+/dLkqpXr666desWfsFAIduyZYsmT56scuXKyWazyWazqUKFCrrxxhsVFham0NBQtWvXTqNHj9YPP/xQ1OVm6+DBg+rQoYNeeOEFbdq0STNnztTnn3+u+++/v6hLQz6sWLFCn332mX744QcZY4q6nGytWbNGX331VZZ1xsbG6vz58zp58mQRVWed77//Xt9//72++OIL+22hATjK6uqeuXPn6q+//tLrr7+uypUrZ7negQMHJEm33nprodYHFDYyJYojMmXxQqYEsjZixAj7Y3feeust3X333frmm2/0448/as6cOWrevLkGDhyoMmXKZLk+xyrhaciVKI7IlcULudKFDIpcbGyskWRiY2Pztf4TTzxhJBlJxt/f31SrVs3UqVPHbN682d4eFBRkunTpYq5cuZJp/aFDhxpJZvTo0QV8JXCFhIQE8/vvv5uEhASXbzs1NdUcOXLE7Nq1yxw5csSkpqa6vAZnDB8+3EgyTz75pEP7+fPnzVtvvWUqV65sbDabGTJkiLl06VK+t/Prr7+axYsXF7TcTPr372+aN2/u0LZs2TKzdu1ay7cF1/jqq6+MJDNp0qSiLiVHa9euzbbOM2fOZPlZ4o4SEhKMJNOhQ4eiLqVAnP1cKGjuQPFl1b5t166dkWQqVKhg3n33XXP58mWTnJxs5s2bZwICAszcuXOzXffkyZNGkvHx8TF///13gepA4SuqXEmmzBqZEnlFpixePCVTGuPc5wKZ0rNZsX+3b99uypcvbz82mfFr4MCBOX7+c6zS/ZAr84ZcieKGXFm8kCtdkyt9XDD3jkL24osvKikpSUuXLlVaWpp69uyp6dOnKzg4WEOGDNHy5cvVt29fvfHGG/L19c20/nfffSebzaZHHnmkCKqHu9i7d6/WrVunuLg4e1tgYKC6d+9uf3ZUcVOlShVJUqlSpRzag4OD9c9//lM9evRQly5dtHjxYsXGxmr58uXy8nLuRhopKSl64oknCuXMyM2bN6thw4YObffcc4/l24Hr+Pv7F3UJeXLt70xG2V0h6o5yep1ASbZ161Z99dVXWrRokZ555hn93//9n2rUqKEOHTrop59+UqNGjbJd97vvvpMk9enTRyEhIa4qGW6ETJk1MiWcQaYsXsiUQNZat26tX375RZMnT9aaNWsUGxurG264Qf/617/08MMP57guxyqRF+TKrJEr4QxyZfFCrnQNbqXuAUqXLq0333xTf//9t6Kjo/X2228rODhYkrRo0SLFx8fr3XffzfL2RIcPH9aBAwfUt29f3XTTTS6uHO5i7969WrZsmUPQlKS4uDgtW7ZMe/fuLaLKcpZbcLzuuuv02WefydvbWytXrtS8efOcGj85OVmPPPKIvvnmm4KUma2///7b6fCL4s1d9qfNZivqElyipLxOID/+8Y9/aPny5Tp9+rQSExP1xx9/6N13381xUlyS1q5dK5vNpueee85FlcKdkCmzRqaEs9xlf5aUrFVSXieQH7Vq1dKiRYt05swZJSYm6ueff851UpxjlcgLcmXWyJVwlrvsz5KSt0rK6yxq7vFTj0KzZMkSlS1bVjNnzizqUlBMpaWlad26dTn2WbdundLS0lxUkbVuvPFG9e7dW5I0e/Zsh2Xvv/++2rRpo86dO6t27drq2rWrfv75Z/vysWPHavv27ZKkl156SR07dtT48eMlXX3fXnvtNbVu3VodOnRQzZo1ddddd+nw4cO51tSjRw917NhRxhjt3LlTHTt2VMeOHfXtt9/qyy+/1MMPP6yQkBAdPnxY48aNU1BQkG699VZduXJFknTlyhVNnTpVXbp0UXh4uEJDQzVs2DCdOnXKvo3t27frmWeeUfPmzdWlSxf9/fffmjZtmnr06KHAwED17NlTZ86c0ZEjR/TEE0+oa9euqlChgv71r38pJSUlx/qjoqL01FNPqX79+lq8eLE+/PBDXXfddapVq5b9OWFpaWmaNWuWevToodatW6tatWr617/+pfj4eEnSpEmT5OPjY3/uUuPGjZWQkCBJOn78uG644QbZbDaFhoYqJiYmT2P+8ccfmjlzptq2bauHH35YP//8s1q0aKGgoCAtW7ZMkhQZGanbbrtNHTt2VLVq1WSz2TRkyBCH15eYmKhJkyapZ8+eatKkiUJDQzVx4sRMz35JTk7W9OnT1aJFC0VERKht27b6+uuvc93/Gf3000/q16+fOnfurLCwMEVERGjTpk2SpM8//1ylSpWyv0dVq1bVTz/9ZF931KhR8vb2lq+vrxYsWJCnMXNy8eJFLV68WB07dszyQMbBgwf14IMPqnPnzrrpppvUsmVLLV++PE+vM7fftbVr12rIkCGqXr26Fi9erI0bN+rRRx9VWFiY6tatq5UrVzqMl9/fv1OnTqlChQr297Rs2bKaP3++ffmiRYsUFBTk8HNx4cIFPfLII+rSpYtuvPFG+7rXWrNmje666y516tRJlSpVUu/eve3PYU735ZdfqmPHjmrfvr0qVqwom82myZMn5+k9BIqDCxcuaNWqVRo5ciQHMZEJmZJMSaYc4vD6yJRkSjIlkDWOVSI35EpyJblyiMPrI1eSK8mVTnLJDduRo6J6LlNMTIwJCgoy77zzjku3i4Jx9TN7jhw5YiZPnpzr15EjR1xSjzMmTZpkJJkJEybk2O+tt96yP+fq5MmTxhhj3nnnHSPJfPnll8YYY/766y8TFBRkrrvuOpOWlmZfd9GiRUaSWbRokcOYEydONJLM7t27jTHG7Nmzx3h7e5t27drluX5d8zyRmJgYExUVZRo0aGAkmX/+859m/fr1ZtCgQaZTp04mISHBJCYmmrZt25qHHnrIpKSkGGOM2bVrl6levbqpWrWqOXDggH28AwcOGEmmVq1aZvHixSY5OdkYY8y8efOMJNOmTRvz+uuv29s/+ugjIynHZ8saY0xUVJS55557jCRz9913m0WLFplJkyaZ5s2bm127dhljjLn33nvNK6+8Yl/nq6++Ml5eXubWW2+1v7/r1683kkyZMmUc3nNjrj47pl69eg7PW8ptzN27d5sZM2bY39fnnnvOvPfee6ZZs2bmgw8+MH/99ZepWrWqOXr0qDHGmJSUFPPoo4+awYMH28dMSkoyHTp0MMuWLbO3pb9fAwcOtLelpqaanj17mubNm5vTp08bY4w5evSoqVGjRp6f27NixQpTtWpVs2fPHmOMMYmJiaZ27drG19fXREVFGWOMiYyMND4+PkaSOXToUKYxmjZt6vA3Pi9jGmPMpk2bMtW5fPly+3PeMr4nxhizbds2ExISYjZv3myMMSYtLc3+jOLly5fn+Drz+rv24osvGkmmW7duZuvWrcaYq/ujcePGJiAgwJw9e9be15nfv2t/z/7++29Tq1YtI8ksXLgwU//Ro0ebBx54wP79vffea6ZPn27/fvPmzcbf399hnTlz5ph7773XXL582RhjzOHDh021atVMpUqVzKlTp4wxV39Pa9WqZWJiYowxV//W9+3bN08/KzxjHOmKet8+++yzplGjRgV6Fh5cy5W5kkxJpiRTDraPSaYkUxbHTJnev7g+CxKuxbFKOItcmTfkSnIluZJcaQy58lquzh1MjBcDRRE2U1NTTe/evc3EiRNdtk1Yw9UT47t27cpT2EwPEcVJXsPm6tWr7WEzMjLSGGNM3759HcKnMcb06NHDSDJnzpyxt2UXNlu0aGF8fHwc2m688UZTunTpPNd/7Ydguvvuu89IMitWrMi07Omnnza+vr7m/PnzDu0rVqwwkhw+bJOTk40kExER4dD3woULWbbHx8cbSeauu+7Ktfa3337bSDKPPfZYpmXLli0zTZs2zdTeokULI8msW7fO3nb77bcbSebHH3906Pv666+b+fPnOz3m/v37jSTTrFkzk5qa6tD3s88+MwEBAQ5/iy9fvmyeeOIJ+/czZswwvXv3zrSdChUqGElm3759xhhjXnvtNSPJ/PTTTw79Zs+enaewee7cOVOuXDnz6quvOrSPHTvW2Gw2h5+3xx57zEgy77//vkPfv/76y9SuXdv+jw5nxswqbBpjzG+//ZYpbCYlJZlatWpl2tdz5swxkszkyZNzfK15/V1buHBhlgEw/fWvWrXK3ubM719Wv2fpvy+PPPJIpv5NmjQxe/futX9frlw5s2DBAoc+//d//2f//5MnT5rSpUubc+fOOfR54oknjCTz9NNPG2OMeeWVV0ytWrXs/7hLX/fFF1/MVMO1mBhHuqLct99//72pV6+eOXbsmMu3jfxzZa4kU5Ip05EpyZRkyuKZKY0p3gcw4Vocq4SzyJV5Q678H3IluZJcSa5M5+rc4SOUOElJSRozZow6duyoMWPGFHU5KObKlStnab/iKOOzVPz8/CRJ48aNU5cuXVSjRg1J0rlz53Tp0iVJst8mJyfTpk1TdHS0/fuTJ08qLS0tT+vmJr3G5s2bO7QnJSXp7bffVsOGDRUcHOywrHfv3qpUqZIiIyO1a9cuNWnSRD4+Vz8Crr2VSlBQUJbtZcuWlXT1diz5rVGSPv74Y50+fVodO3Z0aL906ZJq1aqlo0eP2tv+/e9/a8OGDXrttdf04YcfSpKMMfr4448dnpeU1zHT62ratGmmZ+iEhobq8uXL6tixo2bNmqWIiAiVLl1ar7zyisN2oqOjM22nfPnyKleunA4dOqQGDRpoxowZqlGjhlq0aOHQL6+3Fl66dKni4+N16623OrTPmDFDEydOdPh9e+qppzRv3jzNmDFDgwYNsu+3d955Rw899JC8vb2dHjM7pUuXztT29ddf69ixY5nGHTlypB544IFcx83r71r660j/b7r0n/WMP5cF/f3r06ePbrzxRn3wwQeaMmWKvbbIyEhVrFjR4RnLoaGhGjNmjC5duqQRI0bI399fc+fOtS//7LPPlJqaqrvvvtthGxcuXFCtWrX0119/2cc5duyYunXrpldffVVNmzZVjRo1NGHChDzVDBSlqKgovfjii/rmm28UGhpa1OWgmCJTkinTkSnJlGRKMiVwLY5VwhnkSnJlOnIluZJcSa7MDybGS6Cnn35aQ4cO1c0331zUpcANhIaGKjAwUHFxcdn2CQwMdOsD4SdOnJB0NVzVqlVLktS6dWu1bt1a3377rd555x2VLVvW/mwiY0yuY95+++0yxujLL7/Uhx9+qBo1amT5LA8rHThwQOfPn1fdunUzLfPy8lKzZs20ceNG/f7772rSpEm+t1PQZzTt27dPERER+vTTT3Pte/vtt6tJkyZatmyZpk+fruuuu05r1qxRly5dHIKPM2Nmp2XLlnrhhRc0ZcoUdejQQW3bttVzzz2n7t27O2xn1KhROT7rbO/evTp9+rRat26daVlefwb27NkjSfL19c207NrwVqNGDT344INauHChvvjiC/Xp00dpaWlavHixNm/enK8xs5NV/QUdt6C/a+k1paam2tsK+vtns9n09NNP6/7779fMmTM1a9YsSdLbb7+t//u//3Po++6776pfv34aM2aMpk6dqtGjR2vMmDEKCAiQdPVnJjAw0GFfZKVv37765z//qXnz5qlZs2bq3r27Jk+erPDw8DzXDRSFjRs36pdffrE/SwzIDpmSTHktMiWZMr+1ZoVMeRWZEu6KY5VwBrmSXHktciW5Mr+1ZoVceZUn50qv3LvA07z22msETeSZl5eXw4dtVrp3757pjDZ38vXXX0u6GjZCQkIkSWfOnNGdd96p1157TS+//LLmzp2r2rVr53nMQ4cOqW3btlq9erUWLFigV155xT52Ybl8+bIk6dSpU1kur1ChgqSr/zgoSmlpafrll1/y3P+JJ55QSkqKXn/9dUnSW2+9pZEjRxZozOw8++yz2rNnjwYOHKjt27frjjvu0KhRoxy28/PPP+c4RkxMjCQpOTk533Wkh6z0IHetxMREh++ffvppeXt76z//+Y8kaf369WrSpImqV6+e7zELq9ZrFfR3LStW/P4NGDBAdevW1fz583X27FmdP39eW7ZsUZ8+fRz6tW7dWvv27dOMGTNkjNGECRPUvHlz++9hWlqazp07Z/9HbXa8vLz01ltv6YcfftCdd96pdevWqW3btpoxY4ZTdQOu1rVrVz311FNMiiNXZEoypdXIlLkjU9bOVy3pyJSA63CsEs4gV5IrrUauzB25sna+aklHrixe3PfTAYDLhIWFqX///plCSmBgoPr376+wsLAiqqzg9u/fr5UrV0q6+oEtXf3w7Nmzp3bt2qVPP/1UlStXdmrMhIQEdenSRcYYvf322y67dVNYWJh8fHx05swZHTt2LMu6fH191apVK5fUk506derojz/+0GeffZZp2dGjRzOdSXnfffepevXqWrBggX744QdVrFhR1apVK9CYOWnYsKE+/PBD/fjjj6pVq5bmzp2rqKgo+3Y2bdqkH3/8MdN627Zt0/fff28PeAcPHlRKSkqet5vR9ddfL0n2gJ1RQkKCXn31VYe2evXq6Z577tGOHTu0bt06zZs3L9PZgs6O6Wytb7/9tpKSkhyWGWM0bdq0bNct6O9aVqz6/fP29tZTTz1lf28WL16sQYMGZXm2aUBAgMaOHatDhw5p0KBBOnDggF544QVJV39mJGUZGlNTUzO9761atdJXX32ljRs3Kjg4WM8884xOnjyZr9cAAMUNmZJMaSUyZe7IlPlHpgSA4o1cSa60Erkyd+TK/CNXFj9MjAPIk7CwMI0ePVqDBw9W3759NXjwYI0ePbpYB83cbqPz999/q1+/fkpJSdEjjzyivn372tt//PFHVahQweGDJf1ss4y3TEl/hkjGbe3evVvHjx9XlSpVHLaX1frZSQ8p1354Z5TxdizS1fB///33yxij+fPnZ+q/c+dO3XvvvapUqZJDzdnV42x7XmqUpP79+0uShgwZog8++MDe58iRIxo8eHCmZ+L4+fnp0Ucf1YULF9S7d2+NHj26wGNmVdfy5cu1detW+/ctWrTQ9OnTJcn+Yd+/f397QFq7dq2976+//qqxY8cqPDxcderUUdOmTXXx4kUtX748y/cltxB69913y8fHRz/++KPGjBljf97Mn3/+qbvvvlvt27fPtM4zzzwjm82mp556SocOHVLnzp3zPWZ2P6tZtd9+++0qX768Tp48qQceeMD+/Jzz58/roYceUv369bN9nc78rqXvs9x+Lp35/cvtd3LIkCGqXr265s6dq3nz5mn48OGZ+jz++OP2/w8MDNTixYtVrlw5+8/M3XffLS8vL7355psaP368Ll68KEmKi4vT0KFD7c8AmjVrlsM/Em+77TaNGzdOqamp9mf7AIAnIFOSKXNrz0uNEplSIlOmI1OSKQGUTORKcmVu7XmpUSJXSuTKdOTKEpIrDYpcbGyskWRiY2OLuhS4gYSEBPP777+bhISEoi6l2BsxYoSRZCZMmODQnpSUZD755BMTGhpqfH19zbPPPmtSU1Pty1NTU03FihWNJDN9+nTz/fffmzFjxpjatWsbSWbhwoXmtddeM8YY88033zhs4/PPPzdnz541fn5+xsfHxyxatMhs2rTJDB061FSpUsVIMqtWrTLz58/PsfbvvvvOSDLly5c38fHxDssiIiKMJLNo0aJM6507d840atTI+Pv7m6+//trePm3aNNOgQQPz999/29v27dtnJJm6deua5ORke/vBgweNJFO/fn2H9kOHDmXZPysTJ040kszgwYMzLUtJSTG33367kWQkmaCgIBMaGmq8vLyyfV9iYmJMmTJlTIcOHbJcntcx0/dXo0aNzOXLlx3G+PTTT039+vXNb7/95vA6KleubGJiYowxxly8eNE0bdrUvp2KFSuaGjVqGG9vb7Nu3Tr7epGRkcbf399UrFjRbN++3V7jo48+aiSZvn37mvj4eIefu2vNnDnTvp2AgAD763nssceyXadnz55Gknn11VcLNObChQuNJPPggw86tK9fv95IMrfeeqtD+yeffGK8vLyMJFOqVClTq1Yt4+PjY3r37m3S0tKyrdeZ37Wnnnoqy9/nYcOGGUnm2WefNcYYp37/8vIz/corrxhJplevXlkuDwoKMm+//bZ9X+7bt8/4+PiYDz/80N7nhRdesL/vpUqVMrVr1zalSpUyAwcOtPeZOXOmCQ8PN8ePHzfGGJOWlmYefPBBExYWluvvm7OfC+QOz8W+hbPIlXlDpiRTkinzNyaZ8n/cIVMa49znArnDs7F/4SxyZd6QK8mV5Mr8jUmu/B9yZcExMV4MEDbhDIJm7jZv3mzGjx9vSpcubSQZm81m6tSpY9q2bWvatWtnGjRoYDp27GgmTZpk/8N+rQ0bNpjrr7/eBAUFmTvuuMPs3LnTvP/++yYgIMD06NHD/PXXX8aYqx8IjzzyiAkMDDTDhg2zB5UPPvjAXHfddaZixYrmnnvuMYcPHzZTp041AQEB5sEHH8wUIDPq16+f8ff3t384Va1a1XTo0MHs2rXLNGjQwN7u4+Nj7rzzzkzrR0dHm8cee8zUrFnTtG7d2nTp0sU89dRT5vz58/Y+7777rgkJCbGPVb9+fbN27Vrz4osv2j/8JZk6deqY1atXm5deeslUqFDB3l63bl3zyy+/ZFl/hw4d7MFDkrnhhhvMyZMnHfokJSWZSZMmmdq1axtfX1/TqFEjs3jx4px2q3n00UfNypUrs12e25hPPfWUKVOmjL2uGjVqmC+//NK+/NNPP7X/vDRu3Ni0b9/e9OvXzxw8eNBhO7GxsWb06NGmevXqxs/Pz7Ro0cJ89dVXmerZsWOH6dKliwkICDB33nmnGTFihHnllVfsPxMLFiwwiYmJOb7mDz/80Nx0003Gz8/P1KlTx7z88ss5BtTIyEhTunRpezjOz5iPP/64CQgIsL9PLVq0MGfPnjVPP/20CQoKsrc3btzY4b1Zv369CQ8PN6VKlTLVq1c348ePz/X1GZO337XevXvbf6a8vb1N69atTXR0tGnZsqW93cfHx/To0cMYk7ffvw8++MAeQCWZevXqmQ0bNmSq7+LFi6ZChQpm7dq1Wdaf/jNVtWpVc+utt5p27dqZpUuXZvm+N2vWzPj5+Zlq1aqZp59+2iQlJdmXp/9DwNfX1zRr1sy0a9fOPPzww/a/NTlhYhzp2LdwFrkyZ2RKMiWZkkxZkjKlMcX7ACZci/0LZ5Erc0auJFeSK8mV5MrsuTp32Ixx4j4TKBRxcXEKCgpSbGxspueiANdKTEzUkSNHVKdOHfn7+xd1OQCKkbVr12rZsmVatGhRUZfiMc6fP6+IiAjt2rVLNputqMvJkrOfC+QOz8W+hbPIlQCyQqa0njtkSsm5zwVyh2dj/8JZ5EoAWSFXWo9cWXA8YxwAAA8xd+5cjRw5sqjL8CjvvvuuHnzwwWIdNAEAAKxEprQemRIAAJRE5ErrkSsLjolxAADcVFJSkv78809J0tatW3Xp0iW1atWqiKtyb8YYHT9+XGl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",
      "text/plain": [
       "<Figure size 2000x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20,6))\n",
    "\n",
    "plt.subplot(1,3,1)\n",
    "plt.plot(mu1,ksi1,'o',color='grey',label='Data from reversed cyclic analyses')\n",
    "plt.plot(muc,func(muc,0.28,0.24,6),color='k',label=r'Proposed Model, $R^2=0.57$')\n",
    "plt.xlim(1,20)\n",
    "plt.ylim(0,0.2)\n",
    "plt.text(1.5,0.19,'a)',fontsize=20)\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xlabel(r'Ductility, $\\mu$',fontsize=16)\n",
    "plt.ylabel(r'Hysteretic Damping Ratio, $\\xi_{hyst}$',fontsize=16)\n",
    "plt.legend(fontsize=16)\n",
    "\n",
    "plt.subplot(1,3,2)\n",
    "plt.plot(muSq,ksiSq,'o',color='grey',label='Data from reversed cyclic analyses')\n",
    "plt.plot(muc,func(muc,0.13,0.34,4.3),color='k',label=r'Proposed Model, $R^2=0.80$')\n",
    "plt.xlim(1,20)\n",
    "plt.ylim(0,0.2)\n",
    "plt.text(1.5,0.19,'b)',fontsize=20)\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xlabel(r'Ductility, $\\mu$',fontsize=16)\n",
    "plt.ylabel(r'Hysteretic Damping Ratio, $\\xi_{hyst}$',fontsize=16)\n",
    "plt.legend(fontsize=16)\n",
    "\n",
    "plt.subplot(1,3,3)\n",
    "plt.plot(muSl,ksiSl,'o',color='grey',label='Data from reversed cyclic analyses')\n",
    "plt.plot(muc,func(muc,0.30,0.18,6.9),color='k',label=r'Proposed Model, $R^2=0.53$')\n",
    "plt.xlim(1,20)\n",
    "plt.ylim(0,0.2)\n",
    "plt.text(1.5,0.19,'c)',fontsize=20)\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xlabel(r'Ductility, $\\mu$',fontsize=16)\n",
    "plt.ylabel(r'Hysteretic Damping Ratio, $\\xi_{hyst}$',fontsize=16)\n",
    "plt.legend(fontsize=16)\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/Paper/Figure11.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
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